GCF of 225 and 315 is 45

- Find all the numbers that would divide 225 and 315 without leaving any remainder as explained in factors below.
- Find the greatest common factor from the list of factors for 225 and 315, and read off the answer!

- Factors for
**225: 1, 3, 5, 9, 15, 25, 45, 75, 225** - Factors for
**315: 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315**

Hence, GCf of
*225*
and
*315*
is **45**

Greatest common factor commonly known as GCF of the two numbers is the highest possible number which completely divides given numbers, i.e. without leaving any remainder. It is represented as GCF (225, 315).

- The GCF of two or more given numbers is always less than the given numbers. Eg- GCF of 225 and 315 is 45, where 45 is less than both the numbers.
- If the given numbers are consecutive than GCF is always 1.
- Product of two numbers is always equal to the product of their GCF and LCM.
- The GCF of two given numbers where one of them is a prime number is either 1 or the number itself.

In mathematics, a factor is that number which divides into another number exactly, without leaving a remainder. A factor of a number can be positive or negative.

- Every factor of a number is an exact divisor of that number, example 1, 3, 5, 9, 15, 25, 45, 75, 225 are exact divisors of 225 and 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315 are exact divisors of 315.
- Every number other than 1 has at least two factors, namely the number itself and 1.
- Each number is a factor of itself. Eg. 225 and 315 are factors of themselves respectively.
- 1 is a factor of every number. Eg. 1 is a factor of 225 and also of 315.

**Step 1.**Find all the numbers that would divide 225 and 315 without leaving any remainder. Starting with the number 1 upto 112 (half of 225) and 1 upto 157 (half of 315). The number 1 and the number itself are always factors of the given number.225 ÷ 1 : Remainder = 0315 ÷ 1 : Remainder = 0225 ÷ 3 : Remainder = 0315 ÷ 3 : Remainder = 0225 ÷ 5 : Remainder = 0315 ÷ 5 : Remainder = 0225 ÷ 9 : Remainder = 0315 ÷ 7 : Remainder = 0225 ÷ 15 : Remainder = 0315 ÷ 9 : Remainder = 0225 ÷ 25 : Remainder = 0315 ÷ 15 : Remainder = 0225 ÷ 45 : Remainder = 0315 ÷ 21 : Remainder = 0225 ÷ 75 : Remainder = 0315 ÷ 35 : Remainder = 0225 ÷ 225 : Remainder = 0315 ÷ 45 : Remainder = 0315 ÷ 63 : Remainder = 0315 ÷ 105 : Remainder = 0315 ÷ 315 : Remainder = 0

Hence, Factors of
*225* are **1, 3, 5, 9, 15, 25, 45, 75, and 225**

And, Factors of
*315* are **1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, and 315**

Since Sammy wants to pack greatest number of cookies possible. So for calculating total number of boxes required we need to calculate the GCF of 225 and 315.

GCF of 225 and 315 is 45.

Major and simple difference betwen GCF and LCM is that GCF gives you the greatest common factor while LCM finds out the least common factor possible for the given numbers.

GCF and LCM of two numbers can be related as GCF(225, 315) = ( 225 * 315 ) / LCM(225, 315) = 45.

GCF of 225 and 315 is 45.

To find the greatest number of tables that Ram can stock we need to find the GCF of 225 and 315. Hence GCF of 225 and 315 is 45. So the number of tables that can be arranged is 45.

The greatest number of servings Rubel can create would be equal to the GCF of 225 and 315. Thus GCF of 225 and 315 is 45.

The greatest number of boxes Ariel can make would be equal to GCF of 225 and 315. So the GCF of 225 and 315 is 45.

Greatest possible way in which Mary can arrange them in groups would be GCF of 225 and 315. Hence, the GCF of 225 and 315 or the greatest arrangement is 45.

The greatest number of arrangements that he can make if every balloon is used would be equal to GCF of 225 and 315. So the GCF of 225 and 315 is 45.